135853376256 has 432 divisors, whose sum is σ = 451647472640. Its totient is φ = 40445153280.

The previous prime is 135853376251. The next prime is 135853376273. The reversal of 135853376256 is 652673358531.

135853376256 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 5 + 3 + 3 + 7 + 625 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×135853376256² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (135853376251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25067115 + ... + 25072533.

Almost surely, 2^135853376256 is an apocalyptic number.

135853376256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135853376256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225823736320).

135853376256 is an abundant number, since it is smaller than the sum of its proper divisors (315794096384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135853376256 is an equidigital number, since it uses as much as digits as its factorization.

135853376256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5494 (or 5468 counting only the distinct ones).

The product of its digits is 13608000, while the sum is 54.

The spelling of 135853376256 in words is "one hundred thirty-five billion, eight hundred fifty-three million, three hundred seventy-six thousand, two hundred fifty-six".